Results 51 to 60 of about 76,662 (251)
Differential Geometry and its Applications, 2022 With a view toward sub-Riemannian geometry, we introduce and study H-type foliations. These structures are natural generalizations of K-contact geometries which encompass as special cases K-contact manifolds, twistor spaces, 3K contact manifolds and H-type groups.
Baudoin, Fabrice +3 more
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Foliation groupoids and their cyclic homology [PDF]
, 2000 In this paper we study the Lie groupoids which appear in foliation theory. A foliation groupoid is a Lie groupoid which integrates a foliation, or, equivalently, whose anchor map is injective.
Crainic, M., Moerdijk, I.
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Dicritical logarithmic foliations [PDF]
Publicacions Matemàtiques, 2006 We show the existence of weak logarithmic models for any (dicritical or not) holomorphic foliation F of (C2 , 0) without saddlenodes in its desingularization. The models are written in terms of a representative set of separatrices, whose equisingularity types are controlled by the Milnor number of the foliation.
Cano, F., Corral, N.
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Finding First Foliation Tangencies in the Lorenz System
SIAM Journal on Applied Dynamical Systems, 2017 Classical studies of chaos in the well-known Lorenz system are based on reduction to the one-dimensional Lorenz map, which captures the full behavior of the dynamics of the chaotic Lorenz attractor.
Jennifer L. Creaser +2 more
semanticscholar +1 more source
Hypersurface foliation approach to renormalization of ADM formulation of gravity [PDF]
, 2014 We carry out ADM splitting in the Lagrangian formulation and establish a procedure in which (almost) all of the unphysical components of the metric are removed by using the 4D diffeomorphism and the measure-zero 3D symmetry.
I. Park
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Geometry & Topology Monographs, 1999 52 pages.
Cantwell, John, Conlon, Lawrence
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Poincaré duality of the basic intersection cohomology of a Killing foliation [PDF]
, 2014 We prove that the basic intersection cohomology $${\mathbb H}^{^{*}}_{_{\overline{p}}}{\left( M / \mathcal {F} \right) }$$Hp¯∗M/F, where $$\mathcal F$$F is the singular foliation determined by an isometric action of a Lie group G on a compact manifold M,
M. Saralegi-Aranguren, R. Wolak
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Foliated g-structures and riemannian foliations [PDF]
Manuscripta Mathematica, 1990 Abstract Using the properties of the commuting sheaf of aG-foliation of finite type we prove that some of theseG-foliations must be Riemannian.
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Characteristic foliation on a hypersurface of general type in a projective symplectic manifold
, 2008 Given a projective symplectic manifold $M$ and a non-singular hypersurface $X \subset M$, the symplectic form of $M$ induces a foliation of rank 1 on $X$, called the characteristic foliation.
Hwang, Jun-Muk, Viehweg, Eckart
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Regular and Chaotic Dynamics, 2013 New version, with a completely new section which clarifies the relationship between singular foliations and Nambu structures.
Zung, Nguyen Tien, Minh, Truong Hong
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